Answer:
$5809.17
$6149.01
$2211.72
Step-by-step explanation:
Continous interest formula:
(pv)e^(rt)
we have
5000e^(5*.03)= 5809.17
Same equation from before
2500e^(.09*10)= 6149.01
2000e^(.0575*(21/12))
(we write 21/12 because that's how many years has passed)
= 2211.72
Answer:
6 Days
Step-by-step explanation:
Practically:
It takes,
10 Men ( complete ) 5 Copies --> 6 Days
So, 2 Men can complete 1 copy in 6 days.
Question asks us :
8 Men ( complete ) 4 Copies --> X Days
It will take 6 days because the proportion of men to copies is same as the first equation.
Theoretically:
10 Men 5 Copies 6 Days
8 Men 4 Copies X Days
> 6/X = 8/10 ( If men decrease the number of days increase. So, it is an indirect proportion. ) . 5/4 ( If copies decrease the number of days decrease as well. So, it is a direct proportion. )
> 6/X = 8/10 . 5/4
> 6/X = 40/40
> 6/X = 1
<h2>
> X=6</h2><h2>
</h2><h2><em>
I hope it will be understood.</em></h2><h2><em>
If I have any inaccuracies please let me know.</em></h2><h2><em>
Have a nice day and never stop questioning!</em></h2><h3><em>
</em></h3>
A geometric sequence is a sequence in which there is a common ratio between any two consecutive terms. In this case if X:Y:Z are in the ratio of 2:7:8 the multiplying by a constant k, we have X=2k, Y= 7k and Z=8k.
Then if X, Y-12, Z form a Geometric sequence, it means X/Y-12=Y-12/Z which is the same as 2k/7k-12=7k-12/8k if we cross multply, we get
16k²= 49k²-168k +144
33k²-168k+144 =0 solving for k
k = 4 or 1.091 if we take the whole number to find the values of X,Y and z,
X= 8, Y= 28 and Z=32
Answer:
A)
Step-by-step explanation:
